Determination of the Dielectric Properties of Storage Materials for Exhaust Gas Aftertreatment Using the Microwave Cavity Perturbation Method

Recently, a laboratory setup for microwave-based characterization of powder samples at elevated temperatures and different gas atmospheres was presented. The setup is particularly interesting for operando investigations on typical materials for exhaust gas aftertreatment. By using the microwave cavity perturbation method, where the powder is placed inside a cavity resonator, the change of the resonant properties provides information about changes in the dielectric properties of the sample. However, determining the exact complex permittivity of the powder samples is not simple. Up to now, a simplified microwave cavity perturbation theory had been applied to estimate the bulk properties of the powders. In this study, an extended approach is presented which allows to determine the dielectric properties of the powder materials more correctly. It accounts for the electric field distribution in the resonator, the depolarization of the sample and the effect of the powder filling. The individual method combines findings from simulations and recognized analytical approaches and can be used for investigations on a wide range of materials and sample geometries. This work provides a more accurate evaluation of the dielectric powder properties and has the potential to enhance the understanding of the microwave behavior of storage materials for exhaust gas aftertreatment, especially with regard to the application of microwave-based catalyst state diagnosis.

[1]  V. Murthy,et al.  MEASUREMENT OF COMPLEX DIELECTRIC PERMITTIVITY OF PARTIALLY INSERTED SAMPLES IN A CAVITY PERTURBATION TECHNIQUE , 1996 .

[2]  Y. Yao,et al.  Complex permittivity and permeability of iron-based composite absorbers measured by cavity perturbation method in X-band frequency range , 2009 .

[3]  R. Moos,et al.  Oxidation State and Dielectric Properties of Ceria-Based Catalysts by Complementary Microwave Cavity Perturbation and X-Ray Absorption Spectroscopy Measurements , 2019, Topics in Catalysis.

[4]  Núria López,et al.  Promoted Ceria: A Structural, Catalytic, and Computational Study , 2013 .

[5]  Gunter Hagen,et al.  Monitoring the Ammonia Loading of Zeolite‐Based Ammonia SCR Catalysts by a Microwave Method , 2011 .

[6]  Jiann-Yang Hwang,et al.  Maximum Sample Volume for Permittivity Measurements by Cavity Perturbation Technique , 2014, IEEE Transactions on Instrumentation and Measurement.

[7]  John H. Booske,et al.  Extended cavity perturbation technique to determine the complex permittivity of dielectric materials , 1995 .

[8]  David J. Rowe,et al.  Improved Split-Ring Resonator for Microfluidic Sensing , 2014, IEEE Transactions on Microwave Theory and Techniques.

[9]  P. Marquardt Quantum-size affected conductivity of mesoscopic metal particles , 1987 .

[10]  B. T. G. Tan,et al.  Amendment of cavity perturbation method for permittivity measurement of extremely low-loss dielectrics , 1999, IEEE Trans. Instrum. Meas..

[11]  Ralf Moos,et al.  Ammonia storage studies on H-ZSM-5 zeolites by microwave cavity perturbation: correlation of dielectric properties with ammonia storage , 2015 .

[12]  Anjali Verma,et al.  Measurement of dielectric parameters of small samples at X-band frequencies by cavity perturbation technique , 2005, IEEE Transactions on Instrumentation and Measurement.

[13]  Pavel Kabos,et al.  Dielectric Characterization by Microwave Cavity Perturbation Corrected for Nonuniform Fields , 2014, IEEE Transactions on Microwave Theory and Techniques.

[14]  Tsuyoshi Uda,et al.  First-principles study of dielectric properties of cerium oxide , 2005 .

[15]  A. Porch,et al.  Microwave complex permeability of magnetite using non-demagnetising and demagnetising cavity modes , 2014, 2014 44th European Microwave Conference.

[16]  Gunter Hagen,et al.  TWC: Lambda Control and OBD without Lambda Probe - An Initial Approach , 2008 .

[17]  J. Garnett,et al.  Colours in Metal Glasses, in Metallic Films, and in Metallic Solutions. II , 1905 .

[18]  C. G. Gardner,et al.  High dielectric constant microwave probes for sensing soil moisture , 1974 .

[19]  Harry L. Tuller,et al.  Defect Structure and Electrical Properties of Nonstoichiometric CeO2 Single Crystals , 1979 .

[20]  Martin Votsmeier,et al.  Effect of propene, propane, and methane on conversion and oxidation state of three-way catalysts: a microwave cavity perturbation study , 2015 .

[21]  James E. Parks,et al.  Loading and Regeneration Analysis of a Diesel Particulate Filter with a Radio Frequency-Based Sensor , 2010 .

[22]  Mi Lin,et al.  A new cavity perturbation technique for accurate measurement of dielectric parameters , 2006, 2006 IEEE MTT-S International Microwave Symposium Digest.

[23]  R. M. Bozorth,et al.  Demagnetizing Factors of Rods , 1942 .

[24]  T. Ogawa Measurement of the Electrical Conductivity and Dielectric Constant without Contacting Electrodes , 1961 .

[25]  A. Sihvola Mixing Rules with Complex Dielectric Coefficients , 2000 .

[26]  A. Goncharenko Generalizations of the Bruggeman equation and a concept of shape-distributed particle composites. , 2003, Physical review. E, Statistical, nonlinear, and soft matter physics.

[27]  H. Looyenga Dielectric constants of heterogeneous mixtures , 1965 .

[28]  M. Afsar,et al.  Precision measurement of complex permittivity and permeability by microwave cavity perturbation technique , 2005, 2005 Joint 30th International Conference on Infrared and Millimeter Waves and 13th International Conference on Terahertz Electronics.

[29]  Gunter Hagen,et al.  Catalyst State Diagnosis of Three-Way Catalytic Converters Using Different Resonance Parameters—A Microwave Cavity Perturbation Study , 2019, Sensors.

[30]  J. Vaid,et al.  Measurement of Dielectric Parameters at Microwave Frequencies by Cavity-Perturbation Technique , 1979 .

[31]  Ralf Moos,et al.  Detection of the ammonia loading of a Cu Chabazite SCR catalyst by a radio frequency-based method , 2014 .

[32]  Ralf Moos,et al.  Effects of H2O, CO2, CO, and flow rates on the RF-based monitoring of three-way catalysts , 2011 .

[33]  Fu-Chien Chiu,et al.  Optical and electrical characterizations of cerium oxide thin films , 2010 .

[34]  Ari Sihvola,et al.  Dielectric polarizability of circular cylinder , 2005 .

[35]  R. Moos,et al.  Radio Frequency-Based Determination of the Oxygen and the NOx Storage Level of NOx Storage Catalysts , 2018, Topics in Catalysis.

[36]  Harumi Yokokawa,et al.  Electronic conductivity of pure ceria , 2011 .

[37]  Martin Votsmeier,et al.  In operando Detection of Three-Way Catalyst Aging by a Microwave-Based Method: Initial Studies , 2015 .

[38]  Ralf Moos,et al.  A Laboratory Test Setup for in Situ Measurements of the Dielectric Properties of Catalyst Powder Samples under Reaction Conditions by Microwave Cavity Perturbation: Set up and Initial Tests , 2014, Sensors.

[39]  D. Dube Study of Landau-Lifshitz-Looyenga's formula for dielectric correlation between powder and bulk , 1970 .

[40]  Ralf Moos,et al.  Microwave Cavity Perturbation Studies on H-form and Cu Ion-Exchanged SCR Catalyst Materials: Correlation of Ammonia Storage and Dielectric Properties , 2017, Topics in Catalysis.

[41]  Ralf Moos,et al.  Determination of the NOx Loading of an Automotive Lean NOx Trap by Directly Monitoring the Electrical Properties of the Catalyst Material Itself , 2011, Sensors.

[42]  P. Mohanan,et al.  Effect of Doping on the Dielectric Properties of Cerium Oxide in the Microwave and Far-Infrared Frequency Range , 2004 .

[43]  R. A. Waldron,et al.  Perturbation theory of resonant cavities , 1960 .

[44]  Ralf Moos,et al.  Ammonia Loading Detection of Zeolite SCR Catalysts using a Radio Frequency based Method , 2015 .

[45]  Dieter Brüggemann,et al.  In-Operation Monitoring of the Soot Load of Diesel Particulate Filters: Initial Tests , 2013, Topics in Catalysis.

[46]  Gunter Hagen,et al.  Combination of Wirebound and Microwave Measurements for In Situ Characterization of Automotive Three-Way Catalysts , 2011, IEEE Sensors Journal.

[47]  Ralf Moos,et al.  Microwave-Based Oxidation State and Soot Loading Determination on Gasoline Particulate Filters with Three-Way Catalyst Coating for Homogenously Operated Gasoline Engines , 2015, Sensors.

[48]  Laxmikant Minz,et al.  Improved Measurement Method of Material Properties Using Continuous Cavity Perturbation Without Relocation , 2020, IEEE Transactions on Instrumentation and Measurement.

[49]  Ralf Moos,et al.  Direct Catalyst Monitoring by Electrical Means: An Overview on Promising Novel Principles , 2009 .

[50]  F. Malek,et al.  THE USE OF DIELECTRIC MIXTURE EQUATIONS TO ANALYZE THE DIELECTRIC PROPERTIES OF A MIXTURE OF RUBBER TIRE DUST AND RICE HUSKS IN A MICROWAVE ABSORBER , 2012 .